Mattia Sensi

Department of Mathematics, University of Trento. Email: mattia.sensi@unitn.it

I am a Caritro postdoctoral fellow at University of Trento. I joined Prof. Andrea Pugliese's group in March 2025.

My main research interests are dynamical systems, mathematical biology and Geometric Singular Perturbation Theory (GSPT).

I have worked on models described by Ordinary Differential Equations (ODEs), Delay Differential Equations (DDEs), Integro Differential Equations (IDEs) and Partial Differential Equations (PDEs). My primary area of expertise is mathematical modelling of infectious diseases, but I have researched other topics in the past as well, and I am always interested in branching out.

If you have any question, you wish to discuss a potential collaboration, and/or you need the full text of any of my papers which are not in Open Access, don't hesitate to contact me!

You can download my detailed CV (last updated: 15/04/2025) here.

Links to my profile on:

Experience

Postdoctoral researcher

University of Trento

Working in Prof. Andrea Pugliese's group, studying epidemic models applied to avian flu as part of the Caritro postdoc project “Modelli matematici di malattie infettive più ospiti e popolazioni eterogenee: applicazioni all'influenza aviaria” (“Mathematical models of infectious disease spreading in multi-host and heterogeneous populations: applications to avian flu”).

March 2025 - present

Postdoctoral researcher

Politecnico di Torino

Working in Prof. Andrea Tosin's group, studying socio-epidemiological models as part of the PRIN 2020 project “Integrated Mathematical Approaches to Socio-Epidemiological Dynamics” (No. 2020JLWP23).

March 2023 - February 2025

Postdoctoral researcher

Inria Sophia Antipolis

Working in the group MathNeuro of Prof. Mathieu Desroches, studying multiple time scales dynamics of neural activity.

December 2021 - February 2023

Postdoctoral researcher

TU Delft

Working in the group NAS of Prof. Piet Van Mieghem, as part of the project “Epidemics over Human Contact Graphs”.

March 2021 - November 2021

Publications

Published papers
  1. A. Chizhov, L. Pujo-Menjouet, T. Schwalger and M. Sensi. A refractory density approach to a multi-scale SEIRS epidemic model. Infectious Disease Modelling, 2025, 10(3), pp. 787–801
  2. M. A. Achterberg, M. Sensi and S. Sottile. A minimal model for multigroup adaptive SIS epidemics. Chaos, 2025, 35(3), 033127
  3. L. Eigentler and M. Sensi. Delayed loss of stability of periodic travelling waves: insights from the analysis of essential spectra. Journal of Theoretical Biology, 2024, 595, 111945
  4. I. M. Bulai, M. Sensi and S. Sottile. A geometric analysis of the SIRS compartmental model with fast information and misinformation spreading. Chaos, Solitons and Fractals, 2024, 185, 115104
  5. P. Kaklamanos, A. Pugliese, M. Sensi and S. Sottile. A geometric analysis of SIRS model with secondary infections. SIAM Journal on Applied Mathematics, 2024, 84(2), pp. 661–686
  6. R. Persoons, M. Sensi, B. Prasse and P. Van Mieghem. Transition from time-variant to static networks: Timescale separation in N-intertwined mean-field approximation of susceptible-infectious-susceptible epidemics. Physical Review E, 2024, 109(3), 034308
  7. M. Adimy, A. Chekroun, L. Pujo-Menjouet and M. Sensi. A multigroup approach to delayed prion production. Discrete and Continuous Dynamical Systems - Series B, 2024, 29(7), pp. 2972–2998
  8. M. Sensi, M. Desroches and S. Rodrigues. Slow-fast dynamics in a neurotransmitter release model: delayed response to a time-dependent input signal. Physica D: Nonlinear Phenomena, 2023, 455, 133887
  9. R. Della Marca, A. d'Onofrio, M. Sensi and S. Sottile. A geometric analysis of the impact of large but finite switching rates on vaccination evolutionary games. Nonlinear Analysis: Real World Applications, 2024, 75, 103986
  10. N. Cangiotti, M. Capolli, M. Sensi and S. Sottile. A survey on Lyapunov functions for epidemic compartmental models. Bollettino dell'Unione Matematica Italiana, 2024, 17(2), pp. 241–257
  11. P. Kaklamanos, C. Kuehn, N. Popovic and M. Sensi. Entry-exit functions in fast-slow systems with intersecting eigenvalues. Journal of Dynamics and Differential Equations, 2025, 37(1), pp. 559–576, 103220
  12. N. Cangiotti, M. Capolli and M. Sensi. A generalization of unaimed fire Lanchester’s model in multi-battle warfare. Operational Research, 2023, 23(2), 38
  13. M. A. Achterberg and M. Sensi. A minimal model for adaptive SIS epidemics. Nonlinear Dynamics, 2023, 111(13), pp. 12657–12670
  14. S. Ottaviano, M. Sensi and S. Sottile. Global stability of multi-group SAIRS epidemic models. Mathematical Methods in the Applied Sciences, 2023, 46(13), pp. 14045–14071
  15. N. Cangiotti and M. Sensi. Exact solutions for a Solow-Swan model with non-constant returns to scale. IJPAM, 2023, 54(4), pp. 1278–1285
  16. S. Ottaviano, M. Sensi and S. Sottile. Global stability of SAIRS epidemic models. Nonlinear Analysis: Real World Applications, 2022, 65, 103501
  17. S. Sottile, O. Kahramanogullari and M. Sensi. How network properties and epidemic parameters influence stochastic SIR dynamics on scale-free random networks. Journal of Simulation, 2024, 18(2), pp. 206–219
  18. B. Chang, L. Yang, M. Sensi, M. A. Achterberg, F. Wang, M. Rinaldi and P. Van Mieghem. Markov Modulated Process to model human mobility. Complex Networks & Their Applications X. Studies in Computational Intelligence, 2022, 1015, pp. 607–618
  19. N. Cangiotti and M. Sensi. Benford’s Law: a Number-Theoretical Perspective. PJM, 2022, 11(3), pp. 379–385
  20. N. Cangiotti and M. Sensi. A geometric characterization of VES and Kadiyala-type production functions. Filomat, 2021, 35(5), pp. 1661–1670
  21. N. Cangiotti and M. Sensi. Notes on a conformal characterization of 2-dimensional Lorentzian manifolds with constant Ricci scalar curvature. U.P.B. Sci. Bull., 2021, 83(2), pp. 129–136
  22. T. Lorenzi, A. Pugliese, M. Sensi and A. Zardini. Evolutionary dynamics in an SI epidemic model with phenotype-structured susceptible compartment. Journal of Mathematical Biology, 2021, 83(6-7), 72
  23. H. Jardón-Kojakhmetov, C. Kuehn, A. Pugliese and M. Sensi. A geometric analysis of the SIRS epidemiological model on a homogeneous network. Journal of Mathematical Biology, 2021, 83(4), 37
  24. H. Jardón-Kojakhmetov, C. Kuehn, A. Pugliese and M. Sensi. A geometric analysis of the SIR, SIRS and SIRWS epidemiological models. Nonlinear Analysis: Real World Applications, 2021, 58, 103220

Preprints
  1. J. Borsotti and M. Sensi. A geometric analysis of the Bazykin-Berezovskaya predator-prey model with Allee effect in an economic framework. Preprint on arXiv
  2. C. Oelen, B. Rink and M. Sensi. Non-Birkhoff periodic orbits in symmetric billiards. Preprint on arXiv, GitHub repository BilliardOrbitFinder
  3. E. Bernardi, T. Lorenzi, M. Sensi and A. Tosin. Heterogeneously structured compartmental models of epidemiological systems: from individual-level processes to population-scale dynamics. Preprint on arXiv
  4. M. Aguiar, B. Kooi, A. Pugliese, M. Sensi and N. Stollenwerk. Time scale separation in the vector borne disease model SIRUV via center manifold analysis. Preprint on medRxiv

Education

Università degli Studi di Trento

Ph.D. in Mathematics, cum laude
Title of the thesis: “A Geometric Singular Perturbation approach to epidemic compartmental models”, under the supervision of Prof. Andrea Pugliese.
November 2017 - January 2021

Universiteit van Amsterdam

M.Sc. in Mathematics
Title of the thesis: “Homoclinic vegetation stripes in a Klausmeier-Gray-Scott model”, under the supervision of Prof. Dr. Arjen Doelman.
September 2015 - June 2017

Università degli Studi di Padova

B.Sc. in Mathematics
Title of the thesis: “Portfolio optimization for quadratic utility function with partial information”, under the supervision of Prof. Wolfgang J. Runggaldier.
September 2011 - September 2014

People

Co-authors
  • Mostafa Adimy, senior researcher at Inria Grenoble Rhône-Alpes
  • Iulia Martina Bulai, Tenure-Track Assistant Professor (RTDb) at the University of Sassari
  • Nicolò Cangiotti, postdoctoral researcher at Politecnico di Milano
  • Marco Capolli, postdoctoral researcher at Università degli Studi di Padova
  • Abdennasser Chekroun, Lecturer at Abou Bekr Belkaid university of Tlemcen
  • Anton Chizhov, senior researcher at Ioffe Physical Technical Institute
  • Rossella Della Marca, Tenure-track Assistant Professor (RTDb) at University of Naples Federico II
  • Mathieu Desroches, Research Director (Directeur de Recherche) at Inria Branch of the University of Montpellier
  • Lukas Eigentler, Assistant Professor at the University of Warwick
  • Hildeberto Jardón Kojakhmetov, assistant professor at University of Groningen
  • Panagiotis Kaklamanos, research at Detalytics R&D-team
  • Christian Kuehn, full professor at Technical University of Munich
  • Tommaso Lorenzi, associate professor of Mathematical Physics at Politecnico di Torino
  • Casper Oelen, postdoctoral researcher at Heriot-Watt University, Edinburgh
  • Nikola Popovic, senior lecturer at University of Edinburgh
  • Andrea Pugliese, full professor of Mathematical Analysis at Università degli Studi di Trento, my Ph.D. supervisor
  • Laurent Pujo-Menjouet, associate professor in mathematics at Institut Camille Jordan
  • Bob Rink, professor of mathematics at Vrije Universiteit Amsterdam
  • Serafim Rodrigues, Ikerbasque research professor, Basque Centre for Applied Mathematics
  • Tilo Schwalger, Assistant Professor in Computational Neuroscience and Data Assimilation at Technische Universität Berlin
  • Sara Sottile, postdoctoral researcher at Department of Medical and Surgical Sciences, University of Bologna
  • Andrea Tosin, full professor of Mathematical Physics at Politecnico di Torino

Colleagues
  • Daniele Avitabile, applied mathematician at Vrije Universiteit Amsterdam
  • Emre Baspinar, postdoctoral researcher at CNRS-NeuroPSI
  • Marco Fraccaroli, Postdoctoral Fellow at BCAM - Basque Center for Applied Mathematics
  • Annalisa Iuorio, tenure-track assistant professor at Parthenope University of Naples
  • Léo Mathis, postdoctoral researcher at Goethe University Frankfurt
  • Cinzia Soresina, university assistant at University of Graz
  • Michele Stecconi, postdoctoral researcher at University Of Luxembourg
  • Maria Strazzullo, assistant professor at Politecnico di Torino
  • Halgurd Taher, postdoctoral researcher at the Brain Simulation Section of Charité Berlin
  • Alberto Valli, full professor at Università degli Studi di Trento
  • Marius Yamakou, researcher and principal investigator at University of Erlangen-Nürnberg

Friends